Find the value of x in the triangle shown below.

Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x).

Ymorist [56]

All are the exponential function.

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. c is the base and x is the power.

<h3>Which functions represent exponential growth?</h3>

1. y = f(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

2. y = h(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

3. y = g(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

4. y = k(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

Thus, all are the exponential function.

More about the exponent link is given below.

brainly.com/question/5497425

3 0

2 years ago

The university police department keeps track of the number of tickets it write in a year. Last year the campus police wrote 1460

AlladinOne [14]

Answer:

2

Step-by-step explanation:

We are given that Ticket writing on campus follows a Poisson process.

Last year the campus police wrote 1460 tickets

So, $X \sim Poisson (1460 / year)$

1 year = 365 days

So, E(Y) = $\frac{1460}{365}=4$

So, the standard deviation of the number of tickets written per day by the campus police = $\sqrt{4} =2$

Hence the standard deviation of the number of tickets written per day by the campus police is 2

5 0

3 years ago

Please can someone help me answer this I’m having a hard time

alisha [4.7K]

Answer:

so draw a diagram and draw like 8 cups with the flour. you would put under the cups

Step-by-step explanation:

8×2=(6×8

5 0

3 years ago

A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

5 0

3 years ago

Help me answer it pelase

Lady bird [3.3K]

Answer:

No

Step-by-step explanation:

9=5(-5)-4

9=-10-4

9=-14

4 0

3 years ago